Question 751793
"Please answer quickly i need help. Thank you"


Some rearranging,
{{{-9x^2-54x+4y^2=117}}}


Start to complete the square,
{{{-9(x^2+6x+9-9)+4y^2=117}}}


Simplifying further yields
{{{-9(x+3)^2+4y^2=36}}}


Continuing this simplification and arranging to the intended format,

{{{highlight(y^2/9-(x+3)^2/4=1)}}}